Math 4 Changes for 2007-2008 The placement of many problems has changed. Those that moved to a different page are identified below. 002#05 reworded; formerly #08. 003#01 formerly #07. 003#05 calculator exclusion added; formerly #04. 004#01 reworded, formerly #05. 004#06 formerly 003#05. 005#07 formerly #04. 005#10 reworded. 006#01 expanded version of old 004#06. 006#02 new question. 006#06 changed the names of the functions. 006#11 made the description match the figure. 006#12 formerly 007#02. 007#01 formerly 006#11. 007#03 formerly 006#01. 007#08 changed "better" to "best". 008#05 imposed calculator restriction. 009#04 the date has been changed. 009#07 a new question. 011#10 the dash has been replaced by a semicolon. 012#11 a new question. 013#07 new question; expanded old version to four parts. 014#11 formerly 018#03. 015#02 now asks for the range of sums. 015#09 replaced "recall" by "by the way". 016#01 new question. 016#12 new question. 017#10 formerly 18#01. 017#11 new question. 018#10 new question. 018#11 formerly 023#01. 019#01 new question. 020#10 new question. 022#01 the y-axis is now in the diagram; replaced "successors" by "continuations". 022#04 replaced "equals" by "=". 022#08 added an exponent. 023#01 provided a hint. 024#08 new question. 024#09 new question. 024#10 new question. 025#01 new question. 025#02 new question; borrows from old 030#06. 025#05 formerly 024#08. 025#06 reworded. 026#01 reworded; now has five bullets. 026#02 new question. 027#02 trimmed-down version of old #06. 027#05 reworded; student now asked to put data into a table. 027#06 formerly 028#03. 028#01 formerly 027#02. 028#02 replaced x(t) by x=f(t). 028#03 continued previous labeling. 029#01 former 028#08; expanded what "algebra" means; rearranged definition of R(x). 029#04 reworded. 029#06 reworded. 029#07 new question. 030#02 reworded. 030#11 formerly 029#07. 031#07 replaced "x+k" by "x-h". 032#10 now includes some guidance for the "inspection". 033#07 expanded version now has three parts. 034#01 formerly 033#10. 037#09 new question. 038#04 now has some guidance. 039#04 put last two parts first. 040#04 new question. 040#07 moved down the page from #04. 042#08 formerly 044#04. 043#01 changed labels on points. 043#02 and 043#03 formerly 044#01 and 044#02. 044#01 new question. 044#03 moved down the page a bit. 044#04 and 044#04 formerly 045#02 and 045#03. 045#06 trimmed-down version of former 046#02. 045#07 formerly 046#03. 046#02 and 046#03 formerly 047#01 and 047#02. 046#05 formerly 047#04. 046#06 new follow-up question. 046#07 formerly 047#09. 047#06 formerly 050#03. 048#05 new question. 049#08 new question. 050#01 formerly 049#11. 050#07 and 050#08 formerly 051#01 and 051#02. 051#07 formerly 052#01. 052#07 formerly 057#02. 054#04 new follow-up question. 056#07 formerly 059#05. 057#01 reduced the number of sigmas, and wrote in the invisible unit multipliers. 057#05 reworded; more guidance; final question saved for next page. 057#06 formerly 059#06. 057#07 expanded version of old 058#04. 058#05 formerly at the tail end of 057#06. 058#06 formerly 059#01. 059#01 expanded; introduces displacement-distance distinction. 059#04 formerly 058#03. 059#05 expanded a bit; suggests a way of checking an answer. 059#07 formerly 055#07. 060#01 reworded and titled; put the deltas last; displayed the definition. 060#02 reworded and titled; moved the evaluation notation from old 066#04. 060#03 new question. 060#07 formerly 061#02. 061#04 added to the question. 061#08 formerly 062#02. 062#07 rewritten. 062#08 combines the former 063#01 and 063#02. 062#09 formerly 063#03. 063#01 revised the second sentence. 063#07 through 063#09 formerly at the top of 064. 064#06 and 064#07 formerly 065#02 and 065#01. 065#01 - 065#03 formerly 060#03 - 060#05; now sets a "simplify" challenge. 065#07 replaced "of gravity" by "due to gravity". 066#01 rewritten. 066#02 rewritten. 066#03 rewritten. 066#04 no longer defines notation. 066#07 formerly 067#01; a new limit of integration. 067#01 new question. 067#05 formerly 064#07. 067#10 new question. 068#01 formerly 073#01. 068#03 new slope-field introduction. 068#08 added a question at the end. 069#01 formerly 068#08. 069#02 formerly 068#02. 070#03 new question. 070#06 and 070#07 formerly 071#01 and 071#02. 071#01 through 071#05 were formerly on page 070. 072#01 through 072#05 were formerly on page 071. 073#01 through 073#05 were formerly on page 072. 075#01 formerly 073#07. 076#09 formerly 073#06. 077#07 revised, to get the sharpest possible statement. 079#02 fixed typo in part c. 079#06 fixed typo. 084#03 fixed f <--> g mixup. 087#01 added a remark. 090#05 added a remark. 099#02 added a remark. 106#03 changed "auxiliary" to "gap" and explained why. 107#01 changed "auxiliary" to "gap" and explained why. 117#01 fixed exponent typo. deleted old 018#04, 023#08, 025#06, 025#07, 026#01, 029#10. added to reference section: "asteroid", "fundamental theorem of algebra", "law of cosines", "logarithmic derivative", "root", "double root", and a diagram to illustrate Snell's Law (as in Math 3).